(11-2w)(13-2w)=80

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Solution for (11-2w)(13-2w)=80 equation: 


Simplifying
(11 + -2w)(13 + -2w) = 80

Multiply (11 + -2w) * (13 + -2w)
(11(13 + -2w) + -2w * (13 + -2w)) = 80
((13 * 11 + -2w * 11) + -2w * (13 + -2w)) = 80
((143 + -22w) + -2w * (13 + -2w)) = 80
(143 + -22w + (13 * -2w + -2w * -2w)) = 80
(143 + -22w + (-26w + 4w2)) = 80

Combine like terms: -22w + -26w = -48w
(143 + -48w + 4w2) = 80

Solving
143 + -48w + 4w2 = 80

Solving for variable 'w'.

Reorder the terms:
143 + -80 + -48w + 4w2 = 80 + -80

Combine like terms: 143 + -80 = 63
63 + -48w + 4w2 = 80 + -80

Combine like terms: 80 + -80 = 0
63 + -48w + 4w2 = 0

Factor a trinomial.
(3 + -2w)(21 + -2w) = 0


Subproblem 1
Set the factor '(3 + -2w)' equal to zero and attempt to solve:

Simplifying
3 + -2w = 0

Solving
3 + -2w = 0

Move all terms containing w to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -2w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2w = 0 + -3
-2w = 0 + -3

Combine like terms: 0 + -3 = -3
-2w = -3

Divide each side by '-2'.
w = 1.5

Simplifying
w = 1.5

Subproblem 2
Set the factor '(21 + -2w)' equal to zero and attempt to solve:

Simplifying
21 + -2w = 0

Solving
21 + -2w = 0

Move all terms containing w to the left, all other terms to the right.

Add '-21' to each side of the equation.
21 + -21 + -2w = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -2w = 0 + -21
-2w = 0 + -21

Combine like terms: 0 + -21 = -21
-2w = -21

Divide each side by '-2'.
w = 10.5

Simplifying
w = 10.5
Solution
w = {1.5, 10.5}

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